Solve for x. Assume that lines which appear tangent are tangent. See photo.

Answer:

Step-by-step explanation:

Given the limit function

Lim x → 2: f(x)

1. When f(x) = 9

Then,

From limit theorem

Lim x → xo: K = K

Where k is a constant. Then, the limit of a constant is that constant.

Lim x → 2: 9 = 9

So limit is 9.

2. Lim x → 2: f(x)

Lim x → 2: x

When x = 2

Lim x → 2: 2 = 2

Then, x = 2.

Answer:

height = 142.00 ft

height ≈ 200. 82 ft

height ≈ 245.95 ft

Step-by-step explanation:

The picture below represent the image of the draw bridge. The illustration will form a right angle triangle. The hypotenuse is each half of the drawbridge which is 284 ft long. The opposite side  of the triangle is facing the drawbridge half leg and the adjacent side is horizontal length. This is the side that made the angle with the drawbridge half leg(hypotenuse).

The question ask us to find the height of the drawbridge when it rise which is the opposite sides of the triangle when the angle is 30° , 45° and  60°.

Using SOHCAHTOA principle,

Angle 30°

sin 30° = opposite/hypotenuse

sin 30°  = height/284

cross multiply

height = 0.5 × 284

height = 142.00 ft

Angle 45°

sin 45° = height/284

height = 284 × 0.70710678118

height = 200.818325857

height ≈ 200. 82 ft

Angle 60°

sin 60 = height/284

cross multiply

height = 0.86602540378  × 284

height = 245.951214675

height ≈ 245.95 ft

The question asks about the height a drawbridge rises at different angles. This is a trigonometry problem that can be solved by using the sine of the angle to calculate the height of the bridge when raised. The height corresponds to the 'opposite' side in a right triangle formed by the raised drawbridge.

This question appears to be asking about how high a drawbridge rises based on an angle, x, which is a trigonometry problem. Assuming that the drawbridge forms a right triangle when it rises, the height can be calculated using the sine of the angle, x. Sine of x is equal to the opposite side (height of the bridge when it is raised) over the hypotenuse (half of the drawbridge's length).

Applying these trigonometric principles, calculations for each scenario would look like the following:

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Answer:

The answer is 0.2. It is an irrational number with a repeating 2. It should have a line over the two to represent it repeating.

Step-by-step explanation:

First divide 2 by 9.

Use a calculator or do it by hand.

You get your answer.

Option D is correct, the decimal which is equivalent to the fraction 2/9 is 0.2

The given fraction is two divided by nine, 2/9

Two is the numerator and nine is the denominator

We have to find the equivalent decimal number of fraction 2/9

To do this we have to divide 2 by number nine

When two is divided by nine we get 0.222

2/9 =0.22

=0.2

Hence, the decimal which is equivalent to the fraction 2/9 is 0.2, option D is correct.

To learn more on Fractions click:

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Answer:

70

Step-by-step explanation:

mark = 1    1 times 14 = 14

Brian = 5   5 times 14 = 70

Brian receives 70 sweets, as Mark's 14 sweets represent 1 part of the ratio 1:3:5, indicating that 1 part equals 14 sweets and Brian's 5 parts equal 70 sweets.

Mark, Paul, and Brian share sweets in a ratio of 1:3:5, which means that for every sweet Mark gets, Paul gets 3, and Brian gets 5. Since Mark gets 14 sweets, we can use this information to calculate how many sweets Brian gets. First, let's find out what one 'part' of the ratio is worth by dividing the number of sweets Mark gets by his ratio number:

Mark's sweets (14) / Mark's ratio (1) = 14 sweets per ratio part.

Next, determine Brian's share by multiplying the sweets per ratio part by Brian's ratio number:

Brian's share = sweets per ratio part (14) * Brian's ratio (5) = 70 sweets.

Therefore, Brian gets 70 sweets.

For step one, they want you to factor 5,000 into a 5 and ?. To find the missing value, we can divide:

5,000 / 5 = 1,000

So, 1000 goes in the first blank.

For step two, 1,000 also goes in the second blank since the first 2 numbers are being multiplied.

For step three, multiply the last two numbers.

30 * 1000 = 30,000

So, 30000 goes in the last blank.

Best of Luck!

Answer: 30000 goes in the last one

Step-by-step explanation:

Answer:

11/15 pi radians

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

132 * pi/180

11/15 pi

Answer:

2.304 radians

hope this helps :)

Answer:

196 cent^3

Step-by-step explanation:

mark brainliest please :)

Answer:

190 cents skimpy simple

190 cent

Answer:

t = 54 seconds

Step-by-step explanation:

The equation that models the path of a rocket into the air is given by :

[tex]h(t)= -16t^2+864t[/tex]

It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,

h(t) = 0

i.e.

[tex]-16t^2+864t=0\\\\16t(-t+54)=0\\\\16t=0, -t+54=0\\\\t=0\ and\ t=54\ s[/tex]

It means after 54 seconds, the rocket will hit the ground.

Answer:

  2,042,975

Step-by-step explanation:

Josh can choose 9 of his 25 classmates using the function C(n,k), which tells the number of combinations of n objects taken k at a time.

__

Here, Josh wants to choose 9 from 25 classmates. The number of possible choices is ...

  C(n, k) = n!/(k!(n-k)!)

  C(25, 9) = 25!/(9!(25 -9)!) = 25·24·23·22·21·20·19·18·17÷(9·8·7·6·5·4·3·2·1)

  = 2,042,975

__

Additional comment

In effect, the first ticket can go to any of 25 classmates, the second to any of 24, and so on. The last ticket can go to any of 17 classmates. This product 25·24·...·17 counts each group of classmates 9! times. Since the order in which they are chosen does not matter, the final number is then ...

  25!/(16!·9!) = 2042975

Answer:

From the Law of cosines we see that Line AB^2 (or side c^2) equals

AB^2 = a^2 + b^2 -2ab *cos (C)

AB^2 = 6*6 + 7*7 -2*6 * 7 * cos(59)

AB^2 = 85 -84 * 0.51504

AB^2 = 85 - 43.26336

AB^2 = 41.73664

AB = 6.4603900811

AB = 6.5 (rounded)

Step-by-step explanation:

Answer:

Average speed v = 83.8 km/h

Step-by-step explanation:

Given;

Distance travelled = 95 km

Time taken t = 12.23 - 11.15 = 1 hour 8 minutes

t = 1 + 8/60 hours = 1.133 hours.

Average speed v = distance travelled/time taken

substituting the values;

v = 95 km ÷ 1.133 hours

Average speed v = 83.8 km/h

Answer:

The restrictions partly depend on the type of function.

You can’t divide by  0

You can’t take the square (or other even) root of a negative number, as the result will not be a real number.

In what kind of functions would these two issues occur?

the function is a rational function and the denominator is  

0

for some value or values of x,  

f ( x ) = x + 1 2− x

is a rational function

the function is a radical function with an even index (such as a square root), and the radic and can be negative for some value or values of x.  

f ( x ) = √ 7 − x

is a radical function

The following table gives examples of domain restrictions for several different rational functions.

Hope this helped

Answer:

The answer is 6.

Step-by-step explanation:

Answer:

[tex](-\infty, 0)[/tex]

Step-by-step explanation:

(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]

We have that:

[tex]r(x) = 2 - x^{2}[/tex]

[tex]w(x) = x - 2[/tex]

Composite function:

[tex]w(r(x)) = w(2 - x^{2}} = 2 - x^{2} - 2 = -x^{2}[/tex]

[tex]-x^{2}[/tex] is a negative parabola with vertex at the original.

So the range(the values that y assumes), is:

[tex](-\infty, 0)[/tex]

The range of (w circle r) (x) will be (-∞,0). Option A is correct.

A connection between independent variables and the dependent variable is defined by the function.

Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.

The relation between them is shown as y if dependent and x is the independent variable;

Given functions;

[tex]\rm r(x) =2- x^2 \\\\ w(x) =x-2[/tex]

The composite function is found as;

[tex]\rm w(r(x))=w(2-x^2 = 2-x^2-2)\\\\ w(r(x))= -x^2[/tex]

-x² is graphed and shows the negative parabola

The range of (w circle r) (x) will be (-∞,0).

Hence, option A is correct.

To learn more about the function refer to the link https://brainly.com/question/12431044.

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Answer:

30

Step-by-step explanation:

unknown number = x

3/10 × x = 9

3x/10 = 9

3x = 90

x = 30

Answer:

2.7  or 2 7/10.

Step-by-step explanation:

9 * 3/10

= 27 / 10

= 2.7.

Answer:

75 percent

Step-by-step explanation:

3/4 = 75%

75 - 56 = 19%

Answer:

2 nights

Step-by-step explanation:

We need to find how many nights Francesca will have to spend to knit the rest of the scarf.

First, we have to find how much she has left to knit, and then find how many nights it will take her.

She has already knit 28 centimeters of scarf.

She wants to knit a total of 42 centimeters of scarf.

Therefore, the length of scarf left to knit is:

42 - 28 = 14 centimeters

She can knit 7 centimeters each night.

Therefore, the number of nights more she needs to knit 14 centimeters is:

14 / 7 = 2 nights

She will spend 2 nights to knit a total of 42 centimeters of scarf.

Answer:

96.12

Step-by-step explanation:

89x.0.08 is 7.12 add that to 89 gives you 96.12

Answer:

36/27

Step-by-step explanation:

simplified is  4/3

Answer:

A:

p = 65s, 0《s《20

p = 1300, s > 20

B:

p = 300 + 40s, s》0

C:

p = 900

Step-by-step explanation:

Salmesman A:

p = 65s

65s = 1300

s = 20

Salesman B:

p = 300 + 40s

Salesman C:

p = 900

Answer:

A:

p = 65s, 0《s《20

p = 1300, s > 20

B:

p = 300 + 40s, s》0

C:

p = 900

Step-by-step explanation:

Salmesman A:

p = 65s

65s = 1300

s = 20

Salesman B:

p = 300 + 40s

Salesman C:

p = 900

Step-by-step explanation:

Answer:

(2,0)

Step-by-step explanation:

Solve by graphing:

Use a graphing tool to graph the lines y=2x -4 and y = -x+2.

The lines intercept at point (2,0).

Therefore, the solution to the set of equations is (2,0).

[tex]x=2\\y=0[/tex]

Brainilest Appreciated!

Answer:

(0, -4) and (2,0)

Step-by-step explanation:

Answer:

$390

Step-by-step explanation:

3250 x 0.12 = 390

Answer:

The answer is $390

Answer:

67%

Step-by-step explanation:

500=50*x*15

500=750*x

500/750=x

.666666666=x

.67=x

67%=x

Answer:A & B

Step-by-step explanation:

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is [tex]P(g)=\frac{4}{9}[/tex]

and [tex]P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}[/tex]

Thus [tex]\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}[/tex]

[tex]\frac{g}{g+r}=\frac{4}{9}[/tex]

[tex]\Rightarrow 9g=4g+4r[/tex]

[tex]\Rightarrow 5g=4r\quad \ldots(i)[/tex]

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

[tex]P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}[/tex]

[tex]\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}[/tex]

[tex]\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}[/tex]

[tex]\Rightarrow 10g+10r+60=23g+46[/tex]

[tex]\Rightarrow 10r+14=13g\ quad \ldots(ii)[/tex]

Substitute the value of g in equation (ii)[/tex]

[tex]\Rightarrow 10\times \frac{5}{4}g+14=13g[/tex]

[tex]\Rightarrow \frac{25}{2}g+14=13g[/tex]

[tex]\Rightarrow g=28[/tex]

Therefore [tex]r=35[/tex]

Thus there 28 green counter and 35 red counter

Answer:

-23

Step-by-step explanation:

PEMDAS says to multiply first, so we multiply 4 by -4 and get -16.

Now the equation is -7 - 16. Change the subtraction sign into addition and the negative 16 into a positive, and the equation is -7 + -16.

-7 + -16 is -23.

Answer:

see below

Step-by-step explanation:

A can is a cylinder

V = pi r^2 h

The diameter is 6.4  we want the radius

r = d/2 = 6.4/2 = 3.2

V = 3.14 * (3.2)^ * 12.3

V =395.48928 cm^3

1 cm^3 = 1ml

V = 395.48928 mL

A can of soda has 355 mL

We are over estimating because the can narrows on the ends and the height is actually shorter because the ends do not have volume but are metal to contain the soda.  We also did not take into account the curve in the bottom of a can of soda.

Answer:

395.48928 cm³

40.48928 cm³ greater than an actual can

Step-by-step explanation:

Volume of can:

pi × r² × h

3.14 × (6.4/2)² × 12.3

395.48928 cm³

Actual can: 355 cm³

395.48928 - 355 = 40.48928 cm³

Answer:

I think the plastic cup are 24